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28838419720 = 23511833532237
BaseRepresentation
bin11010110110111001…
…110101110100001000
32202102210120111210021
4122312321311310020
5433030113412340
621125335230224
72040433344265
oct326671656410
982383514707
1028838419720
1111259599630
125709b18374
1329478330a6
14157807a26c
15b3bb7be4a
hex6b6e75d08

28838419720 has 128 divisors (see below), whose sum is σ = 71873101440. Its totient is φ = 10326384640.

The previous prime is 28838419711. The next prime is 28838419747. The reversal of 28838419720 is 2791483882.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12890442 + ... + 12892678.

It is an arithmetic number, because the mean of its divisors is an integer number (561508605).

Almost surely, 228838419720 is an apocalyptic number.

28838419720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28838419720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936550720).

28838419720 is an abundant number, since it is smaller than the sum of its proper divisors (43034681720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28838419720 is a wasteful number, since it uses less digits than its factorization.

28838419720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 28838419720 in words is "twenty-eight billion, eight hundred thirty-eight million, four hundred nineteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 353 415 440 664 706 830 913 1412 1660 1765 1826 2237 2824 3320 3530 3652 3883 4474 4565 7060 7304 7766 8948 9130 11185 14120 15532 17896 18260 19415 22370 24607 29299 31064 36520 38830 44740 49214 58598 77660 89480 98428 117196 123035 146495 155320 185671 196856 234392 246070 292990 322289 371342 492140 585980 644578 742684 789661 928355 984280 1171960 1289156 1485368 1579322 1611445 1856710 2042381 2578312 3158644 3222890 3713420 3948305 4084762 6317288 6445780 7426840 7896610 8169524 8686271 10211905 12891560 15793220 16339048 17372542 20423810 31586440 34745084 40847620 43431355 65541863 69490168 81695240 86862710 131083726 173725420 262167452 327709315 347450840 524334904 655418630 720960493 1310837260 1441920986 2621674520 2883841972 3604802465 5767683944 7209604930 14419209860 28838419720